Displacement-Time Graph

Displacement-Time Graph

In a displacement-time graph, we can determine

1. The displacement of the oscillating object at any time.
2. The amplitude
3. The period.

Example:

Figure above shows a displacement versus time graph for a vibrating object.

1. Find the amplitude, period and frequency for the vibrating system.
2. What is the displacement of the object at t = 0.3 s,
3. Sketch in the same axis above, a graph of a wave which the frequency and amplitude are half of the wave in the figure above.

Answer:
a.
The amplitude, A = 10cm
The period, T = 0.4s
The frequency,
$$\begin{array}{l}f=\frac{1}{T}\\ f=\frac{1}{0.4}=2.5Hz\end{array}$$

b. The displacement at 0.3s = -10cm

c.